12304441440401 has 16 divisors (see below), whose sum is σ = 13535132001216. Its totient is φ = 11184888132000.

The previous prime is 12304441440397. The next prime is 12304441440409. The reversal of 12304441440401 is 10404414440321.

12304441440401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12304441440401 - 2² = 12304441440397 is a prime.

It is a super-3 number, since 3×12304441440401³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12304441440409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15219941 + ... + 16007981.

It is an arithmetic number, because the mean of its divisors is an integer number (845945750076).

Almost surely, 2^{12304441440401} is an apocalyptic number.

12304441440401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12304441440401 is a deficient number, since it is larger than the sum of its proper divisors (1230690560815).

12304441440401 is an equidigital number, since it uses as much as digits as its factorization.

12304441440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799805 (or 799783 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 12304441440401 its reverse (10404414440321), we get a palindrome (22708855880722).

The spelling of 12304441440401 in words is "twelve trillion, three hundred four billion, four hundred forty-one million, four hundred forty thousand, four hundred one".